Monte Carlo computer simulations have been carried out on filled netwo
rks of (amorphous) polyethylene and poly(dimethylsiloxane) using a met
hod based on the authors' general theoretical approach for filled elas
tomeric materials [Kloczkowski et al., Comput. Polym. Sci. 3 (1993) 39
-45]. This approach enables estimation of the effect of the excluded v
olume of filler particles and non-Gaussian characteristics of the chai
ns on the elastic properties of the filled networks. It is assumed (i)
that the filled polymer network consists of a cross-linked mixture of
two types of chains, specifically those attached at one end to spheri
cal filler particles and those that are unattached, and (ii) that the
elastic modulus of the filled polymer is the sum of contributions from
these two types of chains. Distribution functions for the end-to-end
vectors of both types of chains were obtained using the Monte Carlo ro
tational isomeric state technique proposed by Mark and Curro. In the p
resent application, however, conformations of attached chains which ov
erlapped with a spherical particle during the simulation were rejected
. The elastic moduli of both types of chains were calculated as a func
tion of the length of the chains, the size of the filler particles, an
d the temperature.